417895240 has 64 divisors (see below), whose sum is σ = 1082885760. Its totient is φ = 142172160.

The previous prime is 417895213. The next prime is 417895243. The reversal of 417895240 is 42598714.

It is a super-2 number, since 2×417895240² = 349272863229315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 417895193 and 417895202.

It is not an unprimeable number, because it can be changed into a prime (417895243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30984 + ... + 42376.

It is an arithmetic number, because the mean of its divisors is an integer number (16920090).

Almost surely, 2^417895240 is an apocalyptic number.

417895240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417895240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541442880).

417895240 is an abundant number, since it is smaller than the sum of its proper divisors (664990520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417895240 is a wasteful number, since it uses less digits than its factorization.

417895240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 417895240 is about 20442.4861501726. The cubic root of 417895240 is about 747.6341686736.

The spelling of 417895240 in words is "four hundred seventeen million, eight hundred ninety-five thousand, two hundred forty".